On a complete topological inverse polycyclic monoid
| Autor: | S.O. Bardyla, O.V. Gutik |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 8, Iss 2, Pp 183-194 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2075-9827 2313-0210 |
| DOI: | 10.15330/cmp.8.2.183-194 |
| Popis: | We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups. For every infinite cardinal $\lambda$ we construct the coarsest semigroup inverse topology $\tau_{mi}$ on $P_\lambda$ and give an example of a topological inverse monoid $S$ which contains the polycyclic monoid $P_2$ as a dense discrete subsemigroup. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|